Big Idea:Negative numbers help us to model many real world situations.
Problem 1.2 Winning the game
Problem: Mr. Hazan plays MathMania with his class. He divides the class into five teams. At the end of the game, the scores are as follows:
Team A: 200 Team B: -250 Team C: -400 Team D: 350 Team E: -100
A: Order the teams by score, from first place through fifth place.
Ans.Team D, Team A, Team E, Team B, and Team C.
B: By how many points is the first-place team ahead of the second-place team?
Ans. The first-place team is ahead of the second-place team by 150 points.
C:By how many points is the first-place team ahead of the third-place team?
Ans. The first-place team is ahead of the third-place team by 450 points.
D:By how many points is the second-place team ahead of the fourth-place team? Ans. The second-place team is ahead of the fourth place team by 600 points.
E:By how many points is the third-place team ahead of the fifth-place team?
Ans. The third-place team is ahead of the fifth-place by 750 points.
Follow-ups 1. Copy each pair of numbers, inserting > or < to make a true statement. Ans. a. 53 > 35 b. -50 < 0 c. -30 < 15 d. -70 > -90 2. Order the numbers below from least to greatest.
25, 2, 5, -3, 15, -7, -25, 12, 1,-4, 0
to (ordered from least greatest)
-25, -7, -4,-3, 0, 1, 2, 3, 5, 12, 15, 25
11/01/10
Big Idea: Negative numbers help us to model many real world situations.
Problem 1.2 Winning the game
Problem: Mr. Hazan plays MathMania with his class. He divides the class into five teams. At the end of the game, the scores are as follows:
Team A: 200 Team B: -250 Team C: -400 Team D: 350 Team E: -100
A: Order the teams by score, from first place through fifth place.
Ans.Team D, Team A, Team E, Team B, and Team C.
B: By how many points is the first-place team ahead of the second-place team?
Ans. The first-place team is ahead of the second-place team by 150 points.
C: By how many points is the first-place team ahead of the third-place team?
Ans. The first-place team is ahead of the third-place team by 450 points.
D: By how many points is the second-place team ahead of the fourth-place team?
Ans. The second-place team is ahead of the fourth place team by 600 points.
E: By how many points is the third-place team ahead of the fifth-place team?
Ans. The third-place team is ahead of the fifth-place by 750 points.
Follow-ups
1. Copy each pair of numbers, inserting > or < to make a true statement.
Ans. a. 53 > 35 b. -50 < 0 c. -30 < 15 d. -70 > -90
2. Order the numbers below from least to greatest.
25, 2, 5, -3, 15, -7, -25, 12, 1,-4, 0
to (ordered from least greatest)
-25, -7, -4,-3, 0, 1, 2, 3, 5, 12, 15, 25